Question

Quotient space Hausdorff/$T_2$?

score 66 · Answer 1 · 2021-02-07 22:18:22

66

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Quotient space Hausdorff/$T_2$?

Published on 07 Feb 2021 - 22:18

score 87 · Answer 2 · 2021-02-24 00:16:56

87

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Is $f(x) = (x,x)$ not continuous in this topology?

Published on 24 Feb 2021 - 0:16

score 95 · Answer 3 · 2021-03-19 23:39:51

95

Views

Show that if $A_{\alpha}$ is closed in $X_{α}$, then $\prod A_\alpha$ is closed in $\prod X_\alpha$

Published on 19 Mar 2021 - 23:39

score 70 · Answer 4 · 2021-03-20 17:54:47

70

Views

Closure of product equals product of closures: Application

Published on 20 Mar 2021 - 17:54

score 169 · Answer 5 · 2026-02-23 10:05:14

169

Views

Baire space is homeomorphic to countably many copies of itself

Published on 23 Feb 2026 - 10:05

score 101 · Answer 6 · 2021-04-08 14:53:13

101

Views

Finding the basis for Product Topology

Published on 08 Apr 2021 - 14:53

score 50 · Answer 7 · 2021-04-09 18:16:29

50

Views

$f: \prod_{i \geq 1} \{0,1,2,3\} \rightarrow \prod_{i \geq 1} \{0,2\}$ is a homeomorphism

Published on 09 Apr 2021 - 18:16

score 92 · Answer 8 · 2021-04-12 09:10:22

92

Views

How to show a graph is homeomorphic to a subset of a product space?

Published on 12 Apr 2021 - 9:10

score 54 · Answer 9 · 2026-03-27 01:44:32

54

Views

Cartesian product of diffeomorphic Lie groups

Published on 27 Mar 2026 - 1:44

score 36 · Answer 10 · 2026-02-23 04:58:20

36

Views

$X=\prod_{j\in J}X_j$ is Hausdorff(regular) iff each $X_j$ is Hausdorff(regular) on box-topology. Then what about the $T_1$ and product-topology?

Published on 23 Feb 2026 - 4:58

score 160 · Answer 11 · 2021-04-17 08:53:04

160

Views

Is product of perfect spaces perfect?

Published on 17 Apr 2021 - 8:53

score 43 · Answer 12 · 2021-04-19 17:08:40

43

Views

Is the Projection of a Partition of a Product Space always Disjoint in at least one Factor Space?

Published on 19 Apr 2021 - 17:08

score 72 · Answer 13 · 2021-04-27 09:48:57

72

Views

homeomorphicity of 2 subspaces in $\mathbb R^2$

Published on 27 Apr 2021 - 9:48

score 88 · Answer 14 · 2021-05-01 20:06:14

88

Views

What is this topology?

Published on 01 May 2021 - 20:06

score 267 · Answer 15 · 2021-05-09 09:42:19

267

Views

Let $U\subseteq X\times Y$. Show that $\pi_X(U)$ is open in X and $\pi_Y(U)$ is open in Y $\Rightarrow$ U is open does not hold

Published on 09 May 2021 - 9:42

List Question

Quotient space Hausdorff/$T_2$?

Is $f(x) = (x,x)$ not continuous in this topology?

Show that if $A_{\alpha}$ is closed in $X_{α}$, then $\prod A_\alpha$ is closed in $\prod X_\alpha$

Closure of product equals product of closures: Application

Baire space is homeomorphic to countably many copies of itself

Finding the basis for Product Topology

$f: \prod_{i \geq 1} \{0,1,2,3\} \rightarrow \prod_{i \geq 1} \{0,2\}$ is a homeomorphism

How to show a graph is homeomorphic to a subset of a product space?

Cartesian product of diffeomorphic Lie groups

$X=\prod_{j\in J}X_j$ is Hausdorff(regular) iff each $X_j$ is Hausdorff(regular) on box-topology. Then what about the $T_1$ and product-topology?

Is product of perfect spaces perfect?

Is the Projection of a Partition of a Product Space always Disjoint in at least one Factor Space?

homeomorphicity of 2 subspaces in $\mathbb R^2$

What is this topology?

Let $U\subseteq X\times Y$. Show that $\pi_X(U)$ is open in X and $\pi_Y(U)$ is open in Y $\Rightarrow$ U is open does not hold

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